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116717216 = 25721167101
BaseRepresentation
bin1101111010011…
…11011010100000
322010121211220212
412331033122200
5214334422331
615325353252
72615036300
oct675173240
9263554825
10116717216
115a97a410
1233108828
131b247955
1411703600
15a3a7d2b
hex6f4f6a0

116717216 has 144 divisors (see below), whose sum is σ = 298886112. Its totient is φ = 44352000.

The previous prime is 116717197. The next prime is 116717221. The reversal of 116717216 is 612717611.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155566 + ... + 1155666.

It is an arithmetic number, because the mean of its divisors is an integer number (2075598).

Almost surely, 2116717216 is an apocalyptic number.

116717216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116717216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149443056).

116717216 is an abundant number, since it is smaller than the sum of its proper divisors (182168896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116717216 is a wasteful number, since it uses less digits than its factorization.

116717216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its digits is 3528, while the sum is 32.

The square root of 116717216 is about 10803.5742233763. The cubic root of 116717216 is about 488.7029643186.

The spelling of 116717216 in words is "one hundred sixteen million, seven hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 67 77 88 98 101 112 134 154 176 196 202 224 268 308 352 392 404 469 536 539 616 707 737 784 808 938 1072 1078 1111 1232 1414 1474 1568 1616 1876 2144 2156 2222 2464 2828 2948 3232 3283 3752 4312 4444 4949 5159 5656 5896 6566 6767 7504 7777 8624 8888 9898 10318 11312 11792 13132 13534 15008 15554 17248 17776 19796 20636 22624 23584 26264 27068 31108 35552 36113 39592 41272 47369 52528 54136 54439 62216 72226 74437 79184 82544 94738 105056 108272 108878 124432 144452 148874 158368 165088 189476 216544 217756 248864 288904 297748 331583 378952 435512 521059 577808 595496 663166 757904 871024 1042118 1155616 1190992 1326332 1515808 1742048 2084236 2381984 2652664 3647413 4168472 5305328 7294826 8336944 10610656 14589652 16673888 29179304 58358608 116717216